Math Problem Statement
Suppose you took out an upfront loan of $25,000 that you will pay in yearly installments over a 12 year period. If the interest rate on the loan is 11.5%, use the Excel file below to calculate the following:
Note: provide your answers to two decimal places. Do not include any commas ( , ) or dollar signs ( $ ) in your answers.
The annuity repayment amount repaid each year for the life of the loan = $
The amount of interest paid in year 10 = $
The total amount paid back to the bank over the life of the loan = $
Solution
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Math Problem Analysis
Mathematical Concepts
Annuities
Interest Rates
Loan Repayment
Formulas
Annuity repayment formula: A = P * [r(1 + r)^n] / [(1 + r)^n - 1]
Interest payment in year x: Interest = Remaining principal * Annual interest rate
Total repayment: Total = Annuity repayment * Number of years
Theorems
Annuity repayment calculation
Amortization schedule
Suitable Grade Level
College Level or Advanced High School (Grades 11-12)
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